Q6 of 167 Page 19

The angles of a quadrilateral are in A.P. whose common difference is 10. Find the angles

assume the angles are a - 2d, a - d, a + d, a + 2d

We know that the sum of all angles in a quadrilateral is 360


Given: d = 10


To find: angles of the quadrilateral


So, a - 2d + a - d + a + d + a + 2d = 360


4a = 360


a = 90


hence the angles are a - 2d, a - d, a + d, a + 2d which is 70, 80, 100, 110


More from this chapter

All 167 →
4

The sum of three numbers in A.P. is 12, and the sum of their cubes is 288. Find the numbers.

 5

If the sum of three numbers in A.P. is 24 and their product is 440, find the numbers.

 1

Find the sum of the following arithmetic progressions:

50, 46, 42, …. To 10 terms

 1

Find the sum of the following arithmetic progressions:

1, 3, 5, 7, … to 12 terms